Teacher’s Name McLaughlin/Wagner/Doody School Middle Grade Level/Course 7/Math 10/11 Year Curriculum Map
September
October
November
December
Unit Title/Theme
Integers
Algebra
Number Theory
Rational and Irrational Numbers
Decimals
Number Theory
Related Literature
Content (include specific vocabulary)
Ordering and Identifying Integers
Opposite Integers
Absolute value
4. Adding Integers
Subtract Integers
Multiply Integers
Divide Integers
Formulas & Variables
PEMDAS (Order of Operations)
Formula, variable substitution
Writing Expressions
Writing Equations
Solve 1-Step Equations
Solve 2-Step Equations
Write Inequalities
Solve and Graph Inequalities
Number Properties
Divisibility Rules
Prime Factorization
Greatest Common Factor
Least Common Multiple
Scientific Notation of Large and Small Numbers
Multiplying Exponents with the same base
Dividing Exponents with the same base
Zero and Negative Exponents
Perfect Squares
Estimating Square Roots
Classifying Real #’s, Rational #’s and Irrational #’s
Ordering and Comparing Rational and Irrational #’s
Ordering Rational and Irrational Numbers on a number line
Add decimals and fractions
Subtract decimals and fractions
Multiply decimals and fractions
Divide Decimals and fractions
Add, subtract, Multiply, and divide decimals and fractions with positives and negatives
Skills
- determine absolute value of numbers
- add, integers - compare and order integers - subtract, multiply, and divide integers - evaluate expressions involving integers
- review variables, writing expressions using key words
- solve and check 1 and 2 step equations using inverse operations
- , identity elements for addition & multiplication) - apply the rules for order of operations (PEMDAS) to solve problems - understand & solve problems involving positive exponents - solving word problems using algebraic equations
- understand the properties (commutative, associative, distributive, additive & multiplicative inverse
- express numbers in scientific notation (using both positive and negative exponents) - compare and order rational and irrational #’s on and off of a number line -review the rules of divisibility for 2, 3, 5, 6, 9, and 10
- identify and apply the rules of divisibility for 4 and 8 - identify prime and composite numbers
- identify the prime factorization, and greatest common factor - find the lcm and gcf of 2 or more numbers - express negative exponents (with a base of 10) as decimals and fractions
- recognize and state the square root of a perfect square up to 225 -determine the square root of non-perfect squares using a calculator - classify irrational numbers as non-repeating or non-terminating decimals
- approximate square roots by identifying the 2 whole numbers it falls between - distinguish between subsets of real numbers (counting, natural
- #’s, whole #’s, integers, rational & irrational numbers) - recognize the difference between rational and irrational #’s (ex. Explore different approximations of PI)
- place rational & irrational #’s on a number line -develop the rules for multiplying & dividing exponents -
-
- review the procedures for adding, subtracting, multiplying, and dividing decimals and fractions
- solve word problems involving (+, -, x, ¸) decimals and fractions - perform operations with positive and negative decimals and fractions
Assessments
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Curriculum Map
January
February
March
April
Unit Title/Theme
Statisitics
Conversions
Geometry
Probability
Algebra
Ratio/Proportion
Related Literature
Content (include specific vocabulary)
Mean, Median, Mode and Range
Frequency Tables
Interpret graphs
Identify and Collect data
Misleading graphs
Double Bar and Double Line Graphs
Circle Graphs
Venn Diagrams
Customary Conversions
Metric Conversions
Area and Perimeter
Algebra with Area and Perimeter
Classify Triangles and Quadrilateral
Idenitify parts of right triangle (legs, hypotenuse)
Use PythagoreanTheorem to determine length of missing side
Use Pythagorean Theorem to determine if 3 sides form a right triangle
2-D and 3-D figures
Surface Area of Prisms and Cylinders
Volume of Prisms and Cylinders
Estimating Surface Area
Probability, Tree Diagrams and counting principle
Probability of Independent Events
Probability of Dependant Events
Experimental and Theoretical Probability
Solve and Check 1 and 2 step fraction, decimal and integer equations
Combine Like Terms
(define polynomial)
7. Solve equations by
combining like terms
8. Apply the distributive
property
9. Solve equations by
applying the
distributive property
10. Solve equations with
variables on both sides
of the equal sign
Ratios, rates and unit rates
check validity of a proportion
solve a proportion
Set up and solve word problems using proportions
Scale Drawings
Similar Figures
Skills
- - identify & collect data using a variety of methods
- display data in a circle graph
- draw central angles in a circle using a protractor
- convert raw data into double line & bar graphs
- calculate the range for a given set of data
- identify and select an appropriate measure of central tendency (mean, median, mode, range)
- read & interpret data represented graphically (pictograph, bar, line, circle, double bar, histogram) -identify & explain misleading statistics & graphs
- convert capacities & volume within given systems - identify customary & metric units of mass
- convert mass within a given system
- determine the tool & technique to measure mass
- identify the relationship between relative error and magnitude when dealing with large numbers
- determine personal references for customary & metric units of mass - justify the reasonableness of the
mass of an object - - area and perimeter of squares, rectangles, parallelograms, triangles, and trapezoids, and circles (area and circumference) - calculate the radius or the diameter when given the area or circumference.
- Calculate the volume of cylinders & prisms given the formula using a calculator
- Identify the bases of 3D shapes (nets)
- Determine the surface area of prisms and cylinders using calculators and a variety of methods (nets)
- Find the missing angle when given angles of a quadrilateral
- use a protractor to measure and construct angles - classify triangles,quadrilaterals and other types of polygons by their sides and angles
- - add & subtract monomials with exponents of 1
- identify polynomials
- solve and check multi-step equations (combine like terms, variables on both sides, applying the distributive property)
- write ratio three ways and proportions as fractions - use ratio, rates, unit rates and proportions to compare and contrast sets of data - calculate distance using a map scale
- calculate unit price using proportions
- compare unit prices - make scale drawings - solve proportions by using equivalent fractions and cross products - determine if two figures are similar by setting up and solving proportions - use proportions to solve word problems involving scales, maps, and recipes
Assessments
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Unit Tests
Quizzes
Teacher observations
student response
Classwork
Homework
Curriculum Map
May
June
Unit Title/Theme
Geometry
1. Review for Final Exam
Related Literature
Content (include specific vocabulary)
Classify complementary and supplementary angles
Classify Lines and Angles
Find angle measures with relationships (complementary, supplementary, vertical, angles in a triangle, adjacent)
Angle relationships when 2 parallel lines are cut by a transversal (alt interior, alt exterior, vertical, supplementary, corresponding)
Curriculum Map
- Ordering and Identifying Integers
- Opposite Integers
- Absolute value
4. Adding Integers- add, integers
- compare and order integers
- subtract, multiply, and divide integers
- evaluate expressions involving integers
- solve and check 1 and 2 step equations using inverse operations
- , identity elements for addition & multiplication)
- apply the rules for order of operations (PEMDAS) to solve problems
- understand & solve problems involving positive exponents
- solving word problems using algebraic equations
- express numbers in scientific notation (using both positive and negative exponents)
- compare and order rational and irrational #’s on and off of a number line
- review the rules of divisibility for 2, 3, 5, 6, 9, and 10
- identify and apply the rules of divisibility for 4 and 8
- identify prime and composite numbers
- identify the prime factorization, and greatest common factor
- find the lcm and gcf of 2 or more numbers
- express negative exponents (with a base of 10) as decimals and fractions
- recognize and state the square root of a perfect square up to 225
- determine the square root of non-perfect squares using a calculator
- classify irrational numbers as non-repeating or non-terminating decimals
- approximate square roots by identifying the 2 whole numbers it falls between
- distinguish between subsets of real numbers (counting, natural
- #’s, whole #’s, integers, rational & irrational numbers)
- recognize the difference between rational and irrational #’s (ex. Explore different approximations of PI)
- place rational & irrational #’s on a number line
- develop the rules for multiplying & dividing exponents
-
-
- solve word problems involving (+, -, x, ¸) decimals and fractions
- perform operations with positive and negative decimals and fractions
Curriculum Map
- Probability, Tree Diagrams and counting principle
- Probability of Independent Events
- Probability of Dependant Events
- Experimental and Theoretical Probability
- Solve and Check 1 and 2 step fraction, decimal and integer equations
- Combine Like Terms
(define polynomial)7. Solve equations by
combining like terms
8. Apply the distributive
property
9. Solve equations by
applying the
distributive property
10. Solve equations with
variables on both sides
of the equal sign
- display data in a circle graph
- draw central angles in a circle using a protractor
- convert raw data into double line & bar graphs
- calculate the range for a given set of data
- identify and select an appropriate measure of central tendency (mean, median, mode, range)
- read & interpret data represented graphically (pictograph, bar, line, circle, double bar, histogram)
- identify & explain misleading statistics & graphs
- identify customary & metric units of mass
- convert mass within a given system
- determine the tool & technique to measure mass
- identify the relationship between relative error and magnitude when dealing with large numbers
- determine personal references for customary & metric units of mass
- justify the reasonableness of the
mass of an object
- - area and perimeter of squares, rectangles, parallelograms, triangles, and trapezoids, and circles (area and circumference)
- calculate the radius or the diameter when given the area or circumference.
- Calculate the volume of cylinders & prisms given the formula using a calculator
- Identify the bases of 3D shapes (nets)
- Determine the surface area of prisms and cylinders using calculators and a variety of methods (nets)
- Find the missing angle when given angles of a quadrilateral
- use a protractor to measure and
construct angles
- classify triangles, quadrilaterals and other types of polygons by their sides and angles
- add & subtract monomials with exponents of 1
- identify polynomials
- solve and check multi-step equations (combine like terms, variables on both sides, applying the distributive property)
- use ratio, rates, unit rates and proportions to compare and contrast sets of data
- calculate distance using a map scale
- calculate unit price using proportions
- compare unit prices
- make scale drawings
- solve proportions by using equivalent fractions and cross products
- determine if two figures are similar by setting up and solving proportions
- use proportions to solve word problems involving scales, maps, and recipes
Curriculum Map
complementary)